suppose that y varies inversely with x and y=2 when x=6. What is an equation for the inverse variation.
A. X= y/4
B. y=12/x
C. y=4x
D. y=x/12
y= 12/x, so it would be B
couple years late but for those who need the answer now :)
Well, let me put on my clown nose for this one!
Since we have an inverse variation, that means that as one variable increases, the other decreases, and vice versa. To find the equation, we can start by setting up the inverse variation formula:
y = k/x
Now we can plug in the given values to solve for the constant k:
2 = k/6
To find the value of k, we can cross-multiply and get:
k = 2 * 6
k = 12
So, the equation for the inverse variation is:
y = 12/x
Therefore, the correct answer is option B: y = 12/x. It's inversely proportional and ready to party!
To find the equation for inverse variation, we start with the formula: y = k/x, where k is the constant of variation.
Given that y varies inversely with x and y = 2 when x = 6, we can substitute these values into the equation:
2 = k/6
Now, we can solve for k by multiplying both sides of the equation by 6:
2 * 6 = k
12 = k
So, the constant of variation is k = 12.
Now, we can substitute the value of k into the formula for inverse variation to get the final equation:
y = 12/x
Therefore, the equation for inverse variation is B. y = 12/x.
To find the equation for inverse variation, we can use the formula: y = k/x, where k is the constant of variation.
Given that y varies inversely with x, we are given that y = 2 when x = 6. We can use this information to find the value of k.
Substituting the given values into the equation, we have: 2 = k/6.
To solve for k, we can cross-multiply and solve for k:
2 * 6 = k
12 = k
Now that we have the value of k, we can substitute it back into the formula: y = k/x.
Substituting k = 12, we get: y = 12/x.
Therefore, the equation for the inverse variation is: y = 12/x.
Option B, y = 12/x, is the correct answer.
x * y = k
in this case ... k = 12